SYMMETRIES AND INFINITE-DIMENSIONAL LIE-ALGEBRA OF THE VARIABLE-COEFFICIENT KDV EQUATIONS

被引：0

作者：

RUAN, HY ^{[1
]}

LOU, SY ^{[1
]}

机构：

[1] CCAST WORLD LAB, BEIJING 100080, PEOPLES R CHINA

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 1993年 / 20卷 / 03期

关键词：

D O I：

10.1088/0253-6102/20/3/375

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

With the help of the conditional strong symmetry, we obtain the K symmetries, r symmetries, infinite dimensional Lie algebra and the corresponding infinite conservation quantities of the variable coefficient KdV equation u(t)=h(1)(t)(u(xxx)+6uu(x))+4h(2)(t)u(x)-h(0)(t)(2u+xu(x)) with h(0), h(1) and h(2) being three arbitrary functions of t.

引用

页码：375 / 380

页数：6

共 50 条

[1] INFINITE-DIMENSIONAL LIE-ALGEBRA AND SYMMETRIES OF NONLINEAR EQUATIONS IN 3-DIMENSION - AN OVERVIEW
CHOWDHURY, AR
SEN, DC
PURKAIT, S
[J]. FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 1993, 41 (03): : 289 - 305
[2] LIE-ALGEBRA COHOMOLOGY OF CERTAIN INFINITE-DIMENSIONAL REPRESENTATIONS
OSBORNE, MS
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 80 (05) : 852 - 854
[3] LIE-ALGEBRA OF ENDOMORPHISMS OF AN INFINITE-DIMENSIONAL VECTOR-SPACE
STEWART, I
[J]. COMPOSITIO MATHEMATICA, 1972, 25 (01) : 79 - &
[4] DEFORMATIONS OF THE NILPOTENT INFINITE-DIMENSIONAL LIE-ALGEBRA L(2)
KOCHETKOV, YY
POST, GF
[J]. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1992, 26 (04) : 304 - 305
[5] LIE-ALGEBRA CO-HOMOLOGY OF INFINITE-DIMENSIONAL MODULES
WILLIAMS, FL
[J]. ADVANCES IN MATHEMATICS, 1980, 35 (01) : 19 - 29
[6] SYMMETRIES OF THE VARIABLE-COEFFICIENT KDV EQUATION AND 3 HIERARCHIES OF THE INTEGRODIFFERENTIAL VARIABLE-COEFFICIENT KDV EQUATION
ZHANG, JF
HAN, P
[J]. CHINESE PHYSICS LETTERS, 1994, 11 (12) : 721 - 723
[7] INFINITE DIMENSIONAL COMPUTER LIE-ALGEBRA
WAHL, T
[J]. LECTURE NOTES IN COMPUTER SCIENCE, 1985, 204 : 203 - 204
[8] COHOMOLOGY OF THE INFINITE-DIMENSIONAL LIE-ALGEBRA L1 WITH NONTRIVIAL COEFFICIENTS
FEIGIN, BL
FIALOWSKI, A
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 17 (02) : 333 - 337
[9] NORMAL-FORM, SYMMETRY AND INFINITE-DIMENSIONAL LIE-ALGEBRA FOR SYSTEM OF ODES
KODAMA, Y
[J]. PHYSICS LETTERS A, 1994, 191 (3-4) : 223 - 228
[10] Infinite-dimensional Lie groups of symmetries of the ideal MHD equilibrium equations
Bogoyavlenskij, OI
[J]. GROUP 24 : PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRIES, 2003, 173 : 713 - 716

← 1 2 3 4 5 →